Finding the Third Proportional to 107,785 and 226,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,785 : 226,732.50 = 226,732.50 : x
2. Step 2: Convert to fraction form
   107,785/226,732.50 = 226,732.50/x
3. Step 3: Cross multiply
   107,785x = 226,732.50 × 226,732.50
4. Step 4: Simplify right side
   107,785x = 51,407,626,556.25
5. Step 5: Solve for x
   x = 51,407,626,556.25/107,785
6. Step 6: Final answer
   x = 476,946.02